The generator matrix

 1  1  1  1  1  1  1  1  X  1  X  1
 0  X  0  0  0  0  0  X  2 X+2  X  0
 0  0  X  0  0  0  X  0  0  2  X X+2
 0  0  0  X  0  X  X  X  0 X+2  0 X+2
 0  0  0  0  X  X  0  0  X  X  0  2
 0  0  0  0  0  2  0  0  0  2  2  0
 0  0  0  0  0  0  2  0  2  2  0  2
 0  0  0  0  0  0  0  2  0  2  0  2

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+161x^6+686x^8+2428x^10+2048x^11+5740x^12+2048x^13+2406x^14+729x^16+124x^18+12x^20+1x^22

The gray image is a code over GF(2) with n=48, k=14 and d=12.
This code was found by Heurico 1.16 in 87 seconds.